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Finding the Fourth Proportional to 177,121.44, 265,613.10 and 58,761

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Solution

The fourth proportional to 177,121.44, 265,613.10 and 58,761 is: 88,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,121.44 : 265,613.10 = 58,761 : x
  2. Step 2: Convert to fraction form
    177,121.44/265,613.10 = 58,761/x
  3. Step 3: Cross multiply
    177,121.44x = 265,613.10 × 58,761
  4. Step 4: Simplify right side
    177,121.44x = 15,607,691,369.10
  5. Step 5: Solve for x
    x = 15,607,691,369.10/177,121.44
  6. Step 6: Final answer
    x = 88,118.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.